{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Density Estimation for a mixture of Gaussians"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adapted from http://scikit-learn.org/stable/auto_examples/mixture/plot_gmm_pdf.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the density estimation of a mixture of two Gaussians. Data is generated from two Gaussians with different centers and covariance matrices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Fontconfig warning: line 146: blank doesn't take any effect anymore. please remove it from your fonts.conf\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <class 'sklearn.mixture.gaussian_mixture.GaussianMixture'>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using PyPlot, PyCall\n",
    "using ScikitLearn\n",
    "using ScikitLearn.Utils: meshgrid\n",
    "\n",
    "@pyimport matplotlib.colors as mpl_colors\n",
    "\n",
    "@sk_import mixture: GaussianMixture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x128a7f550>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_samples = 300\n",
    "\n",
    "# generate random sample, two components\n",
    "srand(42)\n",
    "\n",
    "# generate spherical data centered on (20, 20)\n",
    "shifted_gaussian = randn(n_samples, 2) .+ [20, 20]'\n",
    "\n",
    "# generate zero centered stretched Gaussian data\n",
    "C = [0. -0.7\n",
    "     3.5 .7]\n",
    "stretched_gaussian = randn(n_samples, 2) * C\n",
    "\n",
    "# concatenate the two datasets into the final training set\n",
    "X_train = vcat(shifted_gaussian, stretched_gaussian)\n",
    "\n",
    "# fit a Gaussian Mixture Model with two components\n",
    "clf = GaussianMixture(n_components=2, covariance_type=\"full\")\n",
    "fit!(clf, X_train)\n",
    "\n",
    "# display predicted scores by the model as a contour plot\n",
    "x = linspace(-20.0, 30.0)\n",
    "y = linspace(-20.0, 40.0)\n",
    "X, Y = meshgrid(x, y)\n",
    "XX = hcat(X[:], Y[:])\n",
    "Z = -score_samples(clf, XX)\n",
    "Z = reshape(Z, size(X))\n",
    "\n",
    "CS = contour(X, Y, Z, norm=mpl_colors.LogNorm(vmin=1.0, vmax=1000.0),\n",
    "             levels=logspace(0, 3, 10))\n",
    "CB = colorbar(CS, shrink=0.8, extend=\"both\")\n",
    "scatter(X_train[:, 1], X_train[:, 2], .8)\n",
    "\n",
    "title(\"Negative log-likelihood predicted by a GMM\")\n",
    "axis(\"tight\");"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.6.0 (Programa)",
   "language": "julia",
   "name": "julia-0.6-programa"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
